A High-speed internet provider A has a $100 setup fee and costs $65 per month. High-speed internet
2 answers:
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Answer:
18. y = -5
19. y = 4x-10
Step-by-step explanation:
Parallel lines have the same slope. You can find the slope from the equation y=mx+b. It is the m value.
For 19, the slope is 4 since y=4x has m = 4. To find a line parallel to it that crosses through the point (3,2), substitute m = 4 and (3,2) into the point slope formula.
It simplifies to y = 4x - 10.
For equations like 18 where y = 8 there is no m value. There is no slope. This is a horizontal line through 8 on the y-axis. A parallel line is another horizontal line through the y value of (-6,-5). The line is written he same way as y = -5.
Any function to determine profit is revenue - cost.
If the number of mattresses made is x, then the revenue made per mattress is 365x.
Under the same assumption, the cost per mattress is 254x + 9100, adding the setup costs to the cost per mattress.
Thus, the function is
. We can simplify this function.
First, lets expand the negative (the same as multiplying each value by -1).
Next, we'll combine like terms.
Therefore, the function for profit is.
Continuing, we need to determine how many mattresses the company needs to break even. Breaking even means there is no profit, but also no loss. Otherwise, they make 0 total. So, we can set the function we just found to 0 and solve for x.
Set the function to 0.
Add 9100 to both sides.
Divide both sides by 111.
Rounding this number up, it would take 82 mattresses to break even.
If the number of mattresses made is x, then the revenue made per mattress is 365x.
Under the same assumption, the cost per mattress is 254x + 9100, adding the setup costs to the cost per mattress.
Thus, the function is
First, lets expand the negative (the same as multiplying each value by -1).
Next, we'll combine like terms.
Therefore, the function for profit is
Continuing, we need to determine how many mattresses the company needs to break even. Breaking even means there is no profit, but also no loss. Otherwise, they make 0 total. So, we can set the function we just found to 0 and solve for x.
Set the function to 0.
Add 9100 to both sides.
Divide both sides by 111.
Rounding this number up, it would take 82 mattresses to break even.